6 · e^(4x - 2) = 3
   e^(4x - 2) = .5
ln e^(4x - 2) = ln (.5)
4x - 2 = ln (.5)
   4x = ln (.5) + 2
   x = (ln (.5) + 2)/4
   x = 0.3267
   x ≈ 0.327

Answer: B

6 0

3 years ago

Astrid is in charge of building a new fleet of ships. Each ship requires 404040 tons of wood, and accommodates 300300300 sailors

nlexa [21]

Answer: 280 tons

Step-by-step explanation: Khan Academy

4 0

3 years ago

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Fill in the missing number to complete the factorization<br> x3 + x2 - 21x - 45 = (x + 3)(x - 5)(x +

Olin [163]

Answer:

Step-by-step explanation:

Let the missing number be $k$ .

Then we have $x^3+x^2-21x-45=(x+3)(x-5)(x+k)$

We expand the right hand side to get:

$x^3+x^2-21x-45=x^3+kx^2-2x^2-2kx-15x-15k$

By comparing constant terms we get:

$-15k=-45$

Divide both sides by -15

$k=\frac{-45}{-15}=3$

Therefore the missing number is 3

4 0

3 years ago